What is the value of i squared (i²)?

The value of i squared, denoted as i², equals -1. This stems from the definition of the imaginary unit i, which is defined as the square root of -1.

When you square i, you are essentially performing the operation i × i. Since i is defined as the square root of -1, squaring it results in:

i² = (√-1) × (√-1) = -1.

Understanding this concept is fundamental in complex number mathematics, as it sets the foundation for operations involving imaginary numbers and complex numbers in general. The significance of this result lies in its application across various fields, including engineering and physics, where complex numbers are routinely utilized to model phenomena that involve square roots of negative numbers.